8492912649 has 81 divisors (see below), whose sum is σ = 14213399733. Its totient is φ = 4883583744.

The previous prime is 8492912629. The next prime is 8492912663. The reversal of 8492912649 is 9462192948.

The square root of 8492912649 is 92157.

It is a perfect power (a square), and thus also a powerful number.

8492912649 is a `hidden beast` number, since 8 + 492 + 91 + 2 + 64 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76685049 + 8416227600 = 8757^2 + 91740^2 .

It is not a de Polignac number, because 8492912649 - 2⁷ = 8492912521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8492912595 and 8492912604.

It is not an unprimeable number, because it can be changed into a prime (8492912609) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 61100022 + ... + 61100160.

Almost surely, 2^8492912649 is an apocalyptic number.

8492912649 is the 92157-th square number.

8492912649 is the 46079-th centered octagonal number.

It is an amenable number.

8492912649 is a deficient number, since it is larger than the sum of its proper divisors (5720487084).

8492912649 is a wasteful number, since it uses less digits than its factorization.

8492912649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 172 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The cubic root of 8492912649 is about 2040.2601751500.

The spelling of 8492912649 in words is "eight billion, four hundred ninety-two million, nine hundred twelve thousand, six hundred forty-nine".